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Algebra Seminar: Lattices and Finite Commutative Groups
2007-10-15
1:10 pm, Neill Hall 106W
Bala Krishnamoorthy
Abstract: A lattice is the set of all integer linear combinations of a set of vectors. I will talk about lattices, full-rank sub-lattices, and the analysis of the equivalence classes of vectors in a lattice defined by a sub-lattice using basic group theoretic techniques. One of the key operations in working with lattices for cryptography applications is to find "good" representatives for each such equivalence class. I will demonstrate the use of the Hermite Normal Form (HNF) of the matrices associated with the lattices to find such representative elements.
Weekly Scheduled Seminars
For more information please contact the individuals listed below.Monday
1:10pmAlgebra Seminar - Google Group
Neill Hall 106W
Contact: Judi McDonald
Tuesday
4:30-5:30pmMathematics Education Seminar
One World Cafe - Moscow, ID
Contact: Libby Knott
Wednesday
3:00-4:00pmApplied Math Seminar
Neill Hall 3W
Contact: Alan Genz
4:00-5:00pm
Reliability and Risk Seminar
Neill Hall 106W
Contact: Haijun Li
Thursday
Friday
4:15-5:15pmSpatial Reasoning: An Interdisciplinary Seminar
Cleveland Annex 309
Contact Co-organizers: Kim Vincent and Kathleen Ryan, Interior Design.
Various disciplines dealing with spatial relationships and reasoning will be examined. We will discuss what spatial reasoning is and how to improve students' spatial reasoning. The book, Learning to Think Spatially: GIS as a Support System in the K-12 Curriculum will be used. A read-only version may be found at www.nap.edu/catalog.php?record_id=11019